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3-132 Steel 0 1.002/1.003 Steel 1.001/1.002 2.00

3-132 Steel 0 1.002/1.003 Steel 1.001/1.002 2.00

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The table below showing values corresponding to problems 3-130 to 3-133 gives data concerning the shrink fit of two cylinders of differing materials and dimensional specification in INCHES. Elastic constants for different materials may be found in Table A-5. Identify the radial interference 6, then find the interference pressure p, and the tangential normal stress on both sides of the fit surface. If dimensional tolerances are given at fit surfaces, repeat the problem for the highest and lowest stress levels. Table A-5 is also given below. PLEASE SOLVE ONLY QUESTION 3-132! Thank you in advance!
### Material Properties Table This table is designed to provide an overview of the material properties of various substances, including their modulus of elasticity (E), modulus of rigidity (G), Poisson’s ratio (ν), and unit weight (w). Understanding these properties is essential for applications in engineering, materials science, and structural analysis. #### Modulus of Elasticity (E) - **Units:** - Megapounds per square inch (Mpsi) - Gigapascals (GPa) #### Modulus of Rigidity (G) - **Units:** - Megapounds per square inch (Mpsi) - Gigapascals (GPa) #### Poisson’s Ratio (ν) - A dimensionless constant that describes the ratio of transverse strain to axial strain in a material under axial loading. #### Unit Weight (w) - **Units:** - Pounds-force per cubic inch (lbf/in³) - Pounds-force per cubic foot (lbf/ft³) - Kilonewtons per cubic meter (kN/m³) ### Detailed Table | Material | \( E \) (Mpsi) | \( E \) (GPa) | \( G \) (Mpsi) | \( G \) (GPa) | \( \nu \) | \( w \) (lbf/in³) | \( w \) (lbf/ft³) | \( w \) (kN/m³) | |--------------------------|----------------|---------------|----------------|---------------|-----------|--------------------|-------------------|------------------| | Aluminum (all alloys) | 10.4 | 71.7 | 3.9 | 26.9 | 0.333 | 0.098 | 169 | 26.6 | | Beryllium copper | 18.0 | 124.0 | 7.0 | 48.3 | 0.285 | 0.297 | 513 | 80.6 | | Brass | 15.4 | 106.0 | 5.82 | 40.1 | 0.324 | 0.309 | 534 | 83.8 | | Carbon steel | 30.0 | 207.0
Transcribed Image Text:### Material Properties Table This table is designed to provide an overview of the material properties of various substances, including their modulus of elasticity (E), modulus of rigidity (G), Poisson’s ratio (ν), and unit weight (w). Understanding these properties is essential for applications in engineering, materials science, and structural analysis. #### Modulus of Elasticity (E) - **Units:** - Megapounds per square inch (Mpsi) - Gigapascals (GPa) #### Modulus of Rigidity (G) - **Units:** - Megapounds per square inch (Mpsi) - Gigapascals (GPa) #### Poisson’s Ratio (ν) - A dimensionless constant that describes the ratio of transverse strain to axial strain in a material under axial loading. #### Unit Weight (w) - **Units:** - Pounds-force per cubic inch (lbf/in³) - Pounds-force per cubic foot (lbf/ft³) - Kilonewtons per cubic meter (kN/m³) ### Detailed Table | Material | \( E \) (Mpsi) | \( E \) (GPa) | \( G \) (Mpsi) | \( G \) (GPa) | \( \nu \) | \( w \) (lbf/in³) | \( w \) (lbf/ft³) | \( w \) (kN/m³) | |--------------------------|----------------|---------------|----------------|---------------|-----------|--------------------|-------------------|------------------| | Aluminum (all alloys) | 10.4 | 71.7 | 3.9 | 26.9 | 0.333 | 0.098 | 169 | 26.6 | | Beryllium copper | 18.0 | 124.0 | 7.0 | 48.3 | 0.285 | 0.297 | 513 | 80.6 | | Brass | 15.4 | 106.0 | 5.82 | 40.1 | 0.324 | 0.309 | 534 | 83.8 | | Carbon steel | 30.0 | 207.0
This table lists the material specifications and dimensions of inner and outer cylinders for various problems, identified by their problem numbers. **Table: Cylinder Specifications** | Problem Number | Inner Cylinder | | Outer Cylinder | | |----------------|----------------------|----------------------------|------------------------|----------------------------| | | Material | \(d_i\) | \(d_o\) | Material | \(D_i\) | \(D_o\) | | 3–130 | Steel | 0 | 2.002 | Steel | 2.000 | 3.00 | | 3–131 | Steel | 0 | 2.002 | Cast iron | 2.000 | 3.00 | | 3–132 | Steel | 0 | 1.002/1.003 | Steel | 1.001/1.002 | 2.00 | | 3–133 | Aluminum | 0 | 2.003/2.006 | Steel | 2.000/2.002 | 3.00 | **Legend:** - \(d_i\) — Inner diameter of the inner cylinder - \(d_o\) — Outer diameter of the inner cylinder - \(D_i\) — Inner diameter of the outer cylinder - \(D_o\) — Outer diameter of the outer cylinder ### Explanation: 1. **Problem Number 3–130**: - Inner Cylinder: Made of steel with an inner diameter of 0 and an outer diameter of 2.002. - Outer Cylinder: Made of steel with an inner diameter of 2.000 and an outer diameter of 3.00. 2. **Problem Number 3–131**: - Inner Cylinder: Made of steel with an inner diameter of 0 and an outer diameter of 2.002. - Outer Cylinder: Made of cast iron with an inner diameter of 2.000 and an outer diameter of 3.00. 3. **Problem Number 3–132**: - Inner Cylinder: Made of steel with an inner diameter of 0 and an outer diameter ranging between 1.002 and 1.003. - Outer Cylinder: Made of steel with an inner
Transcribed Image Text:This table lists the material specifications and dimensions of inner and outer cylinders for various problems, identified by their problem numbers. **Table: Cylinder Specifications** | Problem Number | Inner Cylinder | | Outer Cylinder | | |----------------|----------------------|----------------------------|------------------------|----------------------------| | | Material | \(d_i\) | \(d_o\) | Material | \(D_i\) | \(D_o\) | | 3–130 | Steel | 0 | 2.002 | Steel | 2.000 | 3.00 | | 3–131 | Steel | 0 | 2.002 | Cast iron | 2.000 | 3.00 | | 3–132 | Steel | 0 | 1.002/1.003 | Steel | 1.001/1.002 | 2.00 | | 3–133 | Aluminum | 0 | 2.003/2.006 | Steel | 2.000/2.002 | 3.00 | **Legend:** - \(d_i\) — Inner diameter of the inner cylinder - \(d_o\) — Outer diameter of the inner cylinder - \(D_i\) — Inner diameter of the outer cylinder - \(D_o\) — Outer diameter of the outer cylinder ### Explanation: 1. **Problem Number 3–130**: - Inner Cylinder: Made of steel with an inner diameter of 0 and an outer diameter of 2.002. - Outer Cylinder: Made of steel with an inner diameter of 2.000 and an outer diameter of 3.00. 2. **Problem Number 3–131**: - Inner Cylinder: Made of steel with an inner diameter of 0 and an outer diameter of 2.002. - Outer Cylinder: Made of cast iron with an inner diameter of 2.000 and an outer diameter of 3.00. 3. **Problem Number 3–132**: - Inner Cylinder: Made of steel with an inner diameter of 0 and an outer diameter ranging between 1.002 and 1.003. - Outer Cylinder: Made of steel with an inner
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